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1330831040 = 26571154011
BaseRepresentation
bin100111101010010…
…1101111011000000
310102202012012222112
41033110231323000
510211143043130
6340020154452
744656606610
oct11724557300
93382165875
101330831040
11623246070
12311838a28
131829412b6
14c8a68a40
157bc80495
hex4f52dec0

1330831040 has 112 divisors (see below), whose sum is σ = 3951085824. Its totient is φ = 414796800.

The previous prime is 1330831027. The next prime is 1330831063. The reversal of 1330831040 is 401380331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13308310402 = 3542222514054963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1330830997 and 1330831015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2366 + ... + 51645.

It is an arithmetic number, because the mean of its divisors is an integer number (35277552).

Almost surely, 21330831040 is an apocalyptic number.

1330831040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975542912).

1330831040 is an abundant number, since it is smaller than the sum of its proper divisors (2620254784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330831040 is a wasteful number, since it uses less digits than its factorization.

1330831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54046 (or 54036 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1330831040 is about 36480.5570132913. The cubic root of 1330831040 is about 1099.9534525758.

The spelling of 1330831040 in words is "one billion, three hundred thirty million, eight hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 24640 54011 108022 216044 270055 378077 432088 540110 594121 756154 864176 1080220 1188242 1512308 1728352 1890385 2160440 2376484 2970605 3024616 3456704 3780770 4158847 4320880 4752968 5941210 6049232 7561540 8317694 8641760 9505936 11882420 12098464 15123080 16635388 17283520 19011872 20794235 23764840 24196928 30246160 33270776 38023744 41588470 47529680 60492320 66541552 83176940 95059360 120984640 133083104 166353880 190118720 266166208 332707760 665415520 1330831040